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2422506060 = 22325138312473
BaseRepresentation
bin1001000001100100…
…1000001001001100
320020211101001120200
42100121020021030
514430130143220
61040214413500
7114013650612
oct22031101114
96224331520
102422506060
111033494727
12577361290
132c7b68950
1418da3b6b2
15e2a1e890
hex9064824c

2422506060 has 144 divisors (see below), whose sum is σ = 8009505504. Its totient is φ = 589077504.

The previous prime is 2422506059. The next prime is 2422506133. The reversal of 2422506060 is 606052242.

2422506060 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 50 + 606 + 0 = 666.

It is a super-2 number, since 2×24225060602 = 11737071221473447200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187984 + ... + 200456.

It is an arithmetic number, because the mean of its divisors is an integer number (55621566).

Almost surely, 22422506060 is an apocalyptic number.

2422506060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422506060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004752752).

2422506060 is an abundant number, since it is smaller than the sum of its proper divisors (5586999444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2422506060 is a wasteful number, since it uses less digits than its factorization.

2422506060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12584 (or 12579 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2422506060 is about 49218.9603709790. The cubic root of 2422506060 is about 1343.0379688050.

The spelling of 2422506060 in words is "two billion, four hundred twenty-two million, five hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 83 90 117 130 156 166 180 195 234 249 260 332 390 415 468 498 585 747 780 830 996 1079 1170 1245 1494 1660 2158 2340 2490 2988 3237 3735 4316 4980 5395 6474 7470 9711 10790 12473 12948 14940 16185 19422 21580 24946 32370 37419 38844 48555 49892 62365 64740 74838 97110 112257 124730 149676 162149 187095 194220 224514 249460 324298 374190 449028 486447 561285 648596 748380 810745 972894 1035259 1122570 1459341 1621490 1945788 2070518 2245140 2432235 2918682 3105777 3242980 4141036 4864470 5176295 5837364 6211554 7296705 9317331 9728940 10352590 12423108 13458367 14593410 15528885 18634662 20705180 26916734 29186820 31057770 37269324 40375101 46586655 53833468 62115540 67291835 80750202 93173310 121125303 134583670 161500404 186346620 201875505 242250606 269167340 403751010 484501212 605626515 807502020 1211253030 2422506060